Dimensional formula of spring constant

Spring constant

[M T⁻²]

Written in full: [M¹ L⁰ T⁻² A⁰ K⁰]

How to derive it

Spring constant = Force ÷ Extension, from F = kx

Put in the dimensions of each part: [MLT⁻²] ÷ [L] = [M T⁻²].

mass (M): 1
length (L): 0
time (T): -2
current (A): 0
temperature (K): 0

SI unit

The SI unit of spring constant is N/m.

Same dimensions as spring constant

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

Surface tension

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More from Oscillations and waves

Quantity	Formula
Frequency	[T⁻¹]
Intensity of a wave	[M T⁻³]
Wave number	[L⁻¹]